Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Exploration BiasExplores regularization, learning algorithms, and subgaussian assumptions in machine learning.
Regularity of Weak SolutionsExplores elliptic PDEs, weak solutions, regularity, and strong solutions, with a focus on classical solutions and proof techniques.